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The length of a rectangle is 7 centimeters greater than the width. If 4 centimeters are added to both the length and the width, the new area would be 98 square centimeters. Find the dimensions of the ORIGINAL rectangle, list the SMALLER dimension first.

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sqdancefan

Answer:

  3 cm by 10 cm

Step-by-step explanation:

Assuming the new dimensions are integers, we can look at the factors of 98 to see what they might be.

  98 = 1·98 = 2·49 = 7·14

The latter two factors differ by 7, so are the dimensions after 4 is added. The original dimensions are ...

  7 - 4 = 3 . . . . cm

  14 -4 = 10 . . . . cm

The dimensions of the original rectangle are 3 cm by 10 cm.

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